1455712227840 has 320 divisors, whose sum is σ = 5015439741312. Its totient is φ = 358062489600.

The previous prime is 1455712227821. The next prime is 1455712227883. The reversal of 1455712227840 is 487222175541.

It is a Cunningham number, because it is equal to 1206529²-1.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1455712227840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156844000 + ... + 156853280.

Almost surely, 2^{1455712227840} is an apocalyptic number.

1455712227840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1455712227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507719870656).

1455712227840 is an abundant number, since it is smaller than the sum of its proper divisors (3559727513472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1455712227840 is a wasteful number, since it uses less digits than its factorization.

1455712227840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10891 (or 10875 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 48.

The spelling of 1455712227840 in words is "one trillion, four hundred fifty-five billion, seven hundred twelve million, two hundred twenty-seven thousand, eight hundred forty".